Benjamin Schmidt

I am a software developer. Previously, I was a mathematician working in algebraic geometry with postdocs in Hannover and Austin, Texas. I finished a Ph.D. with Emanuele Macrì at the Ohio State University in 2016.

During my math research days, I was primarily interested in relations between derived categories and algebraic geometry. My research focused on Bridgeland stability conditions, moduli spaces of sheaves, space curves, and birational geometry. These topics have also led me to study exceptional collections, moduli of quiver representations, and geometric invariant theory. I was also interested in computational approaches to these subjects.

Articles

1. Variation of stability for moduli spaces of unordered points in the plane. Joint with Patricio Gallardo. Trans. Amer. Math. Soc. 377 (2024), 589-647. arXiv:2205.15238.
2. Sheaves of low rank in three dimensional projective space. Eur. J. Math. 9, 103 (2023). arXiv:2112.06260.
The desingularization of the theta divisor of a cubic threefold as a moduli space. Joint with Arend Bayer, Sjoerd Viktor Beentjes, Soheyla Feyzbakhsh, Georg Hein, Diletta Martinelli, Fatemeh Rezaee. Geom. Topol. 28 (2024) 127-160. arXiv:2011.12240.
3. Stability and applications. Joint with Emanuele Macrì. Pure Appl. Math. Q., 17(2):671-702, 2021. arXiv:2002.01242.
4. Discriminants of stable rank two sheaves on some general type surfaces. Joint with Benjamin Sung. Math. Res. Lett., 28(1):245-270, 2021. arXiv:1812.02735.
5. Rank two sheaves with maximal third Chern character in three-dimensional projective space. Mat. Contemp., 47:228-270, 2020. arXiv:1811.11951.
Derived categories and the genus of space curves. Joint with Emanuele Macrì. Algebr. Geom. 7 (2020), no. 2, 153-191. arXiv:1801.02709.
6. Bridgeland stability on blow ups and counterexamples. Joint with Cristian Martinez. Math. Z., 292(3-4):1495-1510, 2019. arXiv:1708.08567. Appendix by Omprokash Das.
7. Families of elliptic curves in P^3 and Bridgeland stability. Joint with Patricio Gallardo, César Lozano Huerta. Michigan Math. J. 67 (2018), no. 4, 787-813. arXiv:1609.08184.
8. Bridgeland stability conditions on Fano threefolds. Joint with Marcello Bernardara, Emanuele Macrì, Xiaolei Zhao. Épijournal Geom. Algébrique 1 (2017), Art. 2, 24 pp. arXiv:1607.08199.
9. Lectures on Bridgeland stability. Joint with Emanuele Macrì. In Moduli of curves, volume 21 of Lect. Notes Unione Mat. Ital., pages 139-211. Springer, Cham, 2017. arXiv:1607.01262.
10. Counterexample to the generalized Bogomolov-Gieseker inequality for threefolds. Int. Math. Res. Not. IMRN 2017, no. 8, 2562–2566. arXiv:1602.05055.
11. Nef cones of Hilbert schemes of points on surfaces. Joint with Barbara Bolognese, Jack Huizenga, Yinbang Lin, Eric Riedl, Matthew Woolf, Xiaolei Zhao. Algebra Number Theory 10 (2016), no. 4, 907-930. arXiv:1509.04722.
Stability conditions on threefolds - First wall crossings. J. Algebraic Geom., 29(2):247-283, 2020. arXiv:1509.04608.
12. A generalized Bogomolov-Gieseker inequality for the smooth quadric threefold. Bull. Lond. Math. Soc. 46 (2014), no. 5, 915-923. arXiv:1309.4265.
13. On the birational geometry of Schubert varieties. Bull. Soc. Math. France 143 (2015), no. 3, 489-502. arXiv:1208.5507.

Research related software

• Families of elliptic curves in P^3 and Bridgeland stability: Code for a research article with the same name.
• Variation of stability for moduli spaces of unordered points in the plane: Code for a research article with the same name.
• Stability Conditions: Sage library for computations with (very weak) Bridgeland stability conditions.

Employment

• Since 06/2025: Senior Software Consultant at TNG Technology Consulting GmbH
• 10/2022 - 05/2025: Software Consultant at TNG Technology Consulting GmbH
• 09/2019 - 08/2022: Wissenschaftlicher Mitarbeiter (Postdoc) at Leibniz Universität Hannover
• 09/2016 - 05/2019: R. H. Bing Fellow at the University of Texas at Austin

Education

• 09/2012 - 05/2016: Ph.D. in Mathematics at the Ohio State University
  Advisor: Emanuele Macrì
  Thesis: Stability conditions on threefolds and space curves
  
• 09/2011 - 07/2012: Ph.D. Student in Mathematics at Universität Bonn
  Advisor: Nicolas Perrin
  
• 10/2009 - 11/2011: Master of Science in Mathematics at Universität Bonn
  Advisor: Nicolas Perrin
  Thesis: Resolutions of some Schubert varieties
  
• 10/2006 - 09/2009: Bachelor of Science in Mathematics at Leibniz Universität Hannover
  Advisor: Christine Bessenrodt
  With dinstinction

Notes

• What has algebraic geometry to do with geometry? Notes from a talk given at the graduate student seminar of the Ohio State University in April 2016.
• Introduction to Deformation Theory. Notes from a talk given at a graduate student seminar joint between MIT and NEU in March 2016.
• Constructing stability conditions on threefolds. Notes from a talk given at Yau's student seminar at Harvard in March 2016.

Conference Talks

• 05/2022: Bandoleros Meeting on Vector Bundles. Middle East Technical University.
• 11/2021: Webinar on Bridgeland stability. Vector Bundles and Algebraic Curves (VBAC).
• 07/2021: Bielefeld Algebraic and Arithmetic Geometry Seminar. Universität Bielefeld.
• 02/2020: Escola Transguanabara de Geometria Algébrica (Invitation to give a mini-course). IMPA in Rio de Janeiro.
• 01/2020: North German Algebraic Geometry Seminar (NoGags). Leibniz Universität Hannover.
• 12/2019: School on Bridgeland Stability. University of Warwick.
• 12/2018: Moduli Spaces of Sheaves and Bridgeland Stability. University of Illinois at Chicago.
• 11/2018: Texas Algebraic Geometry Seminar. Texas A&M University.
• 07/2018: Moduli Spaces in Algebraic Geometry and Applications, Satellite meeting of the International Congress of Mathematicians. Campinas.
• 09/2017: Invitation to give a mini-course. Universidad Nacional Autónoma de México in Oaxaca.
• 06/2017: Edge Days. University of Edinburgh.
• 09/2015: BC-Northeastern Algebraic Geometry Conference. Northeastern University.
• 12/2014: Workshop on Algebraic Geometry (Seminario di Natale). Università degli Studi di Milano.
• 02/2014: Midwest Algebraic Geometry Graduate Conference. University of Illinois at Chicago.
• 10/2012: AMS Sectional Meeting, Special Session Geometry of Algebraic Varieties. Akron, Ohio.

Seminar Talks

• 07/2021: Interview talk. Universität Potsdam.
• 11/2020: Algebraic Geometry Seminar. University of California, Riverside.
• 06/2020: Interview talk. Universität Duisburg-Essen.
• 12/2019: Arithmetic and Algebraic Geometry Seminar. Universiteit van Amsterdam.
• 11/2019: Seminar Algebraic Geometry (SAG). Universität Bonn.
• 11/2019: Geometry and Mathematical Physics Seminar. University of Birmingham.
• 05/2019: Algebra and Algebraic Geometry Seminar. University of Washington.
• 03/2019: Algebraic Geometry Seminar. Washington University in St. Louis.
• 03/2019: Interview talk. Universität Heidelberg.
• 05/2018: Seminario di Geometria Algebrica. Università degli Studi di Milano.
• 03/2018: Algebraic Geometry Seminar. Washington University in St. Louis.
• 02/2018: Pick my Brain Seminar. Northeastern University.
• 06/2017: Algebra Seminar. University of Glasgow.
• 06/2017: Algebraic Geometry Seminar. University of Sheffield.
• 06/2017: Séminaire d’Algèbre-Géométrie. Université de Versailles.
• 03/2017: Algebra and Number Theory Seminar. Penn State University.
• 03/2017: Algebraic Geometry and Number Theory Seminar. Rice University.
• 03/2017: Derived Categories Student Learning Seminar. Northeastern University.
• 11/2016: Algebra Seminar. University of Oregon.
• 03/2016: Yau's Student Seminar. Harvard University.
• 03/2016: Interview talk. ETH Zürich.
• 02/2016: Algebraic Geometry Seminar. Princeton University.
• 02/2016: Graduate Student Seminar. Northeastern University.
• 02/2016: Geometry, Algebra, Singularities, Combinatorics Seminar. Northeastern University.
• 01/2016: Interview talk. University of Alberta.
• 12/2015: Algebraic Geometry Seminar. Leibniz Universität Hannover.
• 12/2015: Introductory talk for a lecture series. Massachusetts Institute of Technology.
• 10/2015: Lunch with Algebraic Structures Seminar. University of Georgia.
• 10/2015: Algebraic Geometry Seminar. University of Georgia.
• 10/2015: Algebraic Geometry Seminar. University of South Carolina.
• 10/2015: Graduate Student Seminar. Northeastern University.
• 09/2015: Algebraic Geometry Seminar. University of Illinois at Chicago.

Poster Presentations

• 10/2015: Western Algebraic Geometry Symposium (WAGS). University of Washington. Stability Conditions on threefolds - First wall crossings.
• 10/2015: Algebraic Geometry Northeastern Series (AGNES). Brown University. Stability Conditions on threefolds - First wall crossings.
• 07/2015: AMS Summer Institute in Algebraic Geometry. University of Utah. Stability Conditions on threefolds - First wall crossings.
• 07/2015: Algebraic Geometry Graduate Student Bootcamp. University of Utah. Stability Conditions on threefolds - First wall crossings.
• 07/2014: GAel XXII. SISSA Trieste. Generalized Bogomolov-Gieseker inequality for the quadric threefold.
• 04/2014: Homological Methods in Algebraic Geometry. University of Wisconsin. Generalized Bogomolov-Gieseker inequality for the quadric threefold.
• 04/2014: Texas Algebraic Geometry Symposium (TAGS). Rice University. Generalized Bogomolov-Gieseker inequality for the quadric threefold.
• 10/2013: Algebraic Geometry Northeastern Series (AGNES). Boston College. Generalized Bogomolov-Gieseker inequality for the quadric threefold.

Local Talks

• 06/2019: Algebraic Geometry Seminar. Leibniz Universität Hannover.
• 10/2018: Geometry seminar. The University of Texas at Austin.
• 09/2016: Geometry seminar. The University of Texas at Austin.
• 08/2016: Sean Keel's Back Porch Seminar. The University of Texas at Austin.
• 04/2016: Graduate Student Seminar. The Ohio State University.
• 09/2013: Algebraic Geometry Seminar. The Ohio State University.
• 09/2012: Algebraic Geometry Seminar. The Ohio State University.

Teaching

• Summer 2022: Math for Engineers II. Leibniz Universität Hannover.
• Winter 2021/22: Math for Engineers I. Leibniz Universität Hannover.
• Summer 2021: Analysis B. Leibniz Universität Hannover.
• Winter 2020/21: Toric Varieties. Leibniz Universität Hannover.
• Summer 2020: Analysis II. Leibniz Universität Hannover.
• Winter 2019/20: Analysis I. Leibniz Universität Hannover.
• Spring 2019: Bridgeland Stability Conditions. The University of Texas at Austin.
• Fall 2018: Applied Number Theory. The University of Texas at Austin.
• Fall 2017: Calculus I. The University of Texas at Austin.
• Spring 2017: Complex Analysis. The University of Texas at Austin.
• Fall 2016: Elementary Number Theory. The University of Texas at Austin.
• Fall 2014: Calculus I. The Ohio State University.
• Spring 2014: Calculus I. The Ohio State University.
• Fall 2013: Calculus I. The Ohio State University.
• Summer 2009: Probability Theory. Leibniz Universität Hannover.
• Winter 2008/09: Probability Theory. Leibniz Universität Hannover.
• Summer 2008: Analysis II. Leibniz Universität Hannover.
• Summer 2008: Linear Algebra II. Leibniz Universität Hannover.
• Winter 2007/08: Analysis I. Leibniz Universität Hannover.
• Winter 2007/08: Linear Algebra I. Leibniz Universität Hannover.